Alternately...if they'd reached an interior point and the baby was in distress, dad may have outrun mom, trying to get to a place of phone reception and AC.... too late, baby dies of heatstroke.... dad has to rest, sits down, dies from heatstoke exacerbated by exertion.... mom is trying to catch up. Dies before reaching them...
Was she closer to their car or farther?
Though they were all close together, I don't think they all died at the same moment. The baby and the dog and the dad, closest together but that's only IMO a function of the baby being carried and the dog possibly tethered (or loyal till the end). Four different times of death. In three different places.
JMO